Problem: On the way to school, Karen became fixated on the puzzle game on her phone!

<image>

The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.

One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.

To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.

Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!

Input

The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.

The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).

Output

If there is an error and it is actually not possible to beat the level, output a single integer -1.

Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.

The next k lines should each contain one of the following, describing the moves in the order they must be done:

  * row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row". 
  * col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column". 



If there are multiple optimal solutions, output any one of them.

Examples

Input

3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1


Output

4
row 1
row 1
col 4
row 3


Input

3 3
0 0 0
0 1 0
0 0 0


Output

-1


Input

3 3
1 1 1
1 1 1
1 1 1


Output

3
row 1
row 2
row 3

Note

In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:

<image>

In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.

In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:

<image>

Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.

Solution (in JAVA):

Solution:
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class C_419 {

	InputStream is;
	PrintWriter out;
	int n;
	long a[];
	private boolean oj = System.getProperty("ONLINE_JUDGE") != null;
	int arr[][];
	int m = 0;
	int ans = 0;

	void solve() {
		n = ni();
		m = ni();
		arr = new int[n + 1][m + 1];
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= m; j++)
				arr[i][j] = ni();
		}
		int min = Integer.MAX_VALUE;
		for (int i = 1; i <= m; i++)
			min = Math.min(arr[1][i], min);
		int val = Integer.MAX_VALUE;
		int index = 0;
		for (int i = 0; i <= min; i++) {
			int t = check(clone(arr), n, m, i);
			if (t < val) {
				val = t;
				index = i;
			}
		}
		// out.println(val);
		if (val != Integer.MAX_VALUE) {
			String s = fun(clone(arr), n, m, index);
			out.println(ans);
			out.println(s);
		} else
			out.println(-1);

	}

	int[][] clone(int arr[][]) {
		int temp[][] = new int[arr.length][arr[1].length];
		for (int i = 1; i < temp.length; i++) {
			for (int j = 1; j < temp[1].length; j++) {
				temp[i][j] = arr[i][j];
			}
		}
		return temp;
	}

	int check(int arr[][], int n, int m, int min) {
		int ans = 0;
		boolean flag = true;
		for (int i = 1; i <= m; i++) {
			arr[1][i] -= min;
		}
		ans += min;
		for (int j = 1; j <= m; j++) {
			int sub = arr[1][j];
			for (int i = 1; i <= n; i++) {
				arr[i][j] -= sub;
			}
			ans += sub;
		}
		for (int i = 1; i <= n; i++) {
			boolean f = true;
			for (int j = 1; j <= m; j++) {
				if (arr[i][j] != arr[i][1] || arr[i][j] < 0) {
					f = false;
				}

			}
			flag = f & flag;
		}
		if (flag) {
			for (int i = 1; i <= n; i++)
				ans += arr[i][1];
		} else
			return Integer.MAX_VALUE;
		return ans;
	}

	String fun(int arr[][], int n, int m, int min) {
		tr(arr);
		StringBuilder s = new StringBuilder();
		ans = 0;
		for (int i = 1; i <= m; i++)
			arr[1][i] -= min;
		ans += min;
		for (int i = 1; i <= min; i++) {
			s.append("row " + 1 + "\n");

		}
		for (int j = 1; j <= m; j++) {
			int sub = arr[1][j];
			for (int i = 1; i <= n; i++) {
				arr[i][j] -= sub;
			}
			ans += sub;
			for (int i = 1; i <= sub; i++) {
				s.append("col " + (j) + "\n");

			}
		}
		for (int i = 1; i <= n; i++) {
			ans += arr[i][1];
			for (int k = 1; k <= arr[i][1]; k++)
				s.append("row " + i + "\n");

		}
		return s.toString();
	}

	void run() throws Exception {
		String INPUT = "C:\\Users\\Admin\\Desktop\\input.txt";
		is = oj ? System.in : new FileInputStream(INPUT);
		out = new PrintWriter(System.out);

		long s = System.currentTimeMillis();
		solve();
		out.flush();
		tr(System.currentTimeMillis() - s + "ms");
	}

	public static void main(String[] args) throws Exception {
		new Thread(null, new Runnable() {
			public void run() {
				try {
					new C_419().run();
				} catch (Exception e) {
					e.printStackTrace();
				}
			}
		}, "1", 1 << 26).start();
	}

	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;

	private int readByte() {
		if (lenbuf == -1)
			throw new InputMismatchException();
		if (ptrbuf >= lenbuf) {
			ptrbuf = 0;
			try {
				lenbuf = is.read(inbuf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (lenbuf <= 0)
				return -1;
		}
		return inbuf[ptrbuf++];
	}

	private boolean isSpaceChar(int c) {
		return !(c >= 33 && c <= 126);
	}

	private int skip() {
		int b;
		while ((b = readByte()) != -1 && isSpaceChar(b))
			;
		return b;
	}

	private double nd() {
		return Double.parseDouble(ns());
	}

	private char nc() {
		return (char) skip();
	}

	private String ns() {
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != '
									// ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	private char[] ns(int n) {
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while (p < n && !(isSpaceChar(b))) {
			buf[p++] = (char) b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}

	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for (int i = 0; i < n; i++)
			map[i] = ns(m);
		return map;
	}

	private int[] na(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++)
			a[i] = ni();
		return a;
	}

	private int ni() {
		int num = 0, b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private long nl() {
		long num = 0;
		int b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	private void tr(Object... o) {
		if (!oj)
			System.out.println(Arrays.deepToString(o));
	}

}